Question

Need help give you a good rating pls.

Answer 1

`\boxed{ {x}^{ (1)/(2) } }`

Option D is the correct option.

Explanation:

`\mathrm{ ({x}^{ (1)/(6) } ) ^(3) }`

`\mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}`

`\mathrm{ = {(x)}^{ (1)/(6) * 3 } }`

`\mathrm{ = {x}^{ (1)/(2) } }`

Hope I helped!

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Answer 2

x^(1/2)

Explanation:

For this, we need to understand exponent rules. This one is like this, "A power to a power, you multiply the exponents". This is simply, because this expression would be equivalent to 3 base terms:

(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))

And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following

(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)

Hence, this expression simplifies to x^(1/2).

Cheers.